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dc.contributor.authorLUSZTIG, G
dc.date.accessioned2021-10-27T20:22:49Z
dc.date.available2021-10-27T20:22:49Z
dc.date.issued2020-10-03
dc.identifier.urihttps://hdl.handle.net/1721.1/135288
dc.description.abstract©2020 American Mathematical Society abstract. Let V be a finite dimensional vector space over the field with two elements with a given nondegenerate symplectic form. Let [V] be the vector space of complex valued functions on V, and let [V]z be the subgroup of [V] consisting of integer valued functions. We show that there exists a Z-basis of [V]z consisting of characteristic functions of certain isotropic subspaces of V and such that the matrix of the Fourier transform from [V] to [V] with respect to this basis is triangular. We show that this is a special case of a result which holds for any two-sided cell in a Weyl group.
dc.language.isoen
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.isversionof10.1090/ert/551
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.sourceAmerican Mathematical Society
dc.titleFOURIER TRANSFORM AS A TRIANGULAR MATRIX
dc.typeArticle
dc.relation.journalRepresentation Theory
dc.eprint.versionFinal published version
dc.type.urihttp://purl.org/eprint/type/JournalArticle
eprint.statushttp://purl.org/eprint/status/PeerReviewed
dc.date.updated2021-05-24T16:31:34Z
dspace.orderedauthorsLUSZTIG, G
dspace.date.submission2021-05-24T16:31:35Z
mit.journal.volume24
mit.journal.issue16
mit.licensePUBLISHER_POLICY
mit.metadata.statusAuthority Work and Publication Information Needed


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